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Finding the Fourth Proportional to 516,896.57, 775,393.48 and 152,158.42

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Solution

The fourth proportional to 516,896.57, 775,393.48 and 152,158.42 is: 228,251.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,896.57 : 775,393.48 = 152,158.42 : x
  2. Step 2: Convert to fraction form
    516,896.57/775,393.48 = 152,158.42/x
  3. Step 3: Cross multiply
    516,896.57x = 775,393.48 × 152,158.42
  4. Step 4: Simplify right side
    516,896.57x = 117,982,646,795.10
  5. Step 5: Solve for x
    x = 117,982,646,795.10/516,896.57
  6. Step 6: Final answer
    x = 228,251.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.